I know that cordership guns have been made for each of the corderships that can be synthesized from gliders, and that a c/2 cordership rake has been made. However, I was wondering if it is possible to create a cordership rake out of corderships. I've been fooling around with the glider synthesis for the various corderships, and I can't seem to get more than six or so glider rakes in place without having some of the gliders from one rake run into the back end of another rake. Is it possible to fix this?
Also, theoretically, any object that can be made from glider synthesis can be made from slow salvo glider synthesis or P1 slow salvo glider synthesis. Is there any simple way to find one of these for a cordership?
Cordership Rake?
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Extrementhusiast
- Posts: 1970
- Joined: June 16th, 2009, 11:24 pm
- Location: USA
Re: Cordership Rake?
It has been done, but I'm on the other computer.
I Like My Heisenburps! (and others)
Re: Cordership Rake?
Cool. Can you post the pattern when you get a chance?
-
Extrementhusiast
- Posts: 1970
- Joined: June 16th, 2009, 11:24 pm
- Location: USA
Re: Cordership Rake?
I do believe that this is what you are looking for:
Code: Select all
x = 1298, y = 924, rule = B3/S23
474b3o6bo$473bo4bo3bobo$473bo4b2o3bo$473bo6bo$382bo91b3obo2bobo$380b2o
b2o93b5o$382bo100bo10b2o$397b2o95b2o$396bo2bo$383b2o11b2ob2o$382bo2bo
11bo$381b2o3bo10b3o$381bo4bo19b2o$381bo3bo20b2o$382bo2bo116b2o$383bo
94b2o22b2o$478b4o5bob2o$399bo76b2ob3o5bo3bobo$395bo3bo76b2o3b2o10bo$
396bo2bo76b2obobo9bobo$396b2ob2o80bo5bobo$393bo3bobo10b3o65b3o$393bo4b
o11b2obo54bo$413b2o52b2o7bo$386b2o15b2o3b2o2b2o52bobob3o2bobo$386b2o
14b2ob2o58b3o3b2o3bo$391b2o8bo4bo59bobob2obobo$374b3o13b2o8b3o3bo60b2o
b2o$374bobo14bo2b3o2bo4b2o62bob5obo$374b3o14b2o2b2o2bobo8bo61b4o$391b
2o2bo4b2o7b2o33b3o6bo$392b3o14bobo7b2o22bo4bo3bobo$376b2o15bo25bobo21b
o4b2o3bo$374b2ob2o41bo22bo6bo$352bo21b2o2b2o64b3obo2bobo116b5o7bo$350b
2ob2o18b2o3b2o68b5o115b2o5b2o4bobo$352bo21b2o2b2o73bo10b2o102bo7bo4bo$
367b2o6bobo86b2o102b2o7bo3bo2bo$366bo2bo200b2o6bo3b3o$353b2o11b2ob2o
56b2o37bo106bo$352bo2bo11bo59bobo35bobo105bo4bo13b2o$351b2o3bo10b3o58b
o36bobo4bo101b2obo14b2o$351bo4bo109bo5b2o$351bo3bo112b3o3bo$352bo2bo
111b3o2b2o$353bo94b2o17bo$448b4o5bob2o7bo$369bo65b2o9b2ob3o5bo3bobo4b
2o$365bo3bo65bobo8b2o3b2o10bo4b2o119bo3bo6b2o$366bo2bo66bo9b2obobo9bob
o2bo2bo117bo2bob3o5b2o$366b2ob2o32b2o2bo43bo5bobo5bo4bo119bobobo$367bo
bo36bobo39b3o13b2ob2ob2o106bobo7bo$368bo36bo16bo40bo5b2o101b2o4b3obob
2ob2o$422bo44bo104b2o6bo2b2o3bobo3bo$356b2o49b2o13bo40bo124bobo$356b2o
85b2o19bo3bo107b2o$408b2o12b2o19bobo6b2o14bo95b3o8b4o$407bo13bo2bo19bo
7b2o13bo94b7o5b2o2bo$405b2ob2o11bobo6b2o31bo97b9o3bob3o$408b2o10b2o8b
2o31bo96bo7b3o3b2obo$406bo13bo42b2o96b3o6bo$423b2o17bo119b2o$364b2o57b
2o16b2o21b2o99bo$364b2o57b2o16bobo7b2o8bob3o100bo$420b2obo27bobo8bo2bo
101bo$421b3o28bo9b3o$422bo$416bo15b2o$415bobo13b6o$418bo12b3o2bo$410b
2o2b2obo16b3o$410b2o5bobo6b3o$417bobo8bo30b2obo$400bo15bo3bo7bo30b3o$
397b4o14b2o7bob2o32bo95bo$415b2ob2o3b2o33b2o95b3o$417bo39bo2bo93bobobo
$460bo92b3ob3o$375bo24bobo54b3o$374bobo24bo153bob3o$373bo3bo13b3o5b2o
12bobo139b5o11bo$373bo3bo8bo12bo2bo11bo140b2o2b2o9bobo$373bobob3o4b2ob
3o8b2ob2o154bob2o9b2o$374b2obo2bo5bob2o169b2o$378bobo8bo165bobo2bo$
359b3o6bo9b2o11bo2bo76bo82bobo2bo$360b2o3b2obo22b3o33bo38bo2bobo2bo3bo
76bo$359b2o5bobo58b2o37bo4b2ob5o$364b3obo57bobo37bo3bo4bobo$367b2o$
468b3o$337bo131bo18b2o$337bo7bo142b2o$337bo5b3o$336b2o3bobo$342bo2bo
39b2o164b3o$341bo2b2o38bobo149b2o13bobo$356b2o27bo146b2o3bo12bo3bo$
356b2o163b3o7bo6bo11bo3bo$496b2o26b3o5bo3b5o9bo$496b2o26b3o6bo3bo12bo
4b2o$355bo10b2o117b2o38bo11bo2bo9bo6bo$355bo3bobo122b2ob2o49b2o11bo5bo
$353b2obob2o2bo110bob2o7b2ob2o62b2o$354b6o2bo106b3ob2obo9b3o64bo3bo$
355bo5b2o107bo3bobo77bobo$358bobo110bo3bo76bo103b3o$345b2o3b2o6bo192bo
bo102b3o$339bo3b4o3bobo110bo87bo$339bob2o2bo2bo3bo111bob2obobo73b3o4bo
bo101bob2o$339bob2o4bo3b2o7b2o96b3o3b4o3bo29b2o11bo30b3o5b2o16bo84bo3b
o$343bo3bo12b2o102bo2b2ob2o29bobo11b2o27bo3bo18b2o3bo85b3o$348bo11b2o
101bo38bo11b2o29b3o23b3o99b2o$461b3o81b2o25bo100b2o$356b2o2bo100b3o63b
2o6bo2b2obo24bo4bo$357b3o81bo85b2o5bo3bo3b2o21bob3obo$358bo77bo2bobo2b
o3bo85bo3b3obo21bo4b2o86bo$344b2o90bo4b2ob5o91b2o27bobo84bobo$344b2o7b
obo80bo3bo4bobo54bo6b2o54bo5bo85bo$356bo144b2o6bobo54bo4bo84b2o$356bo
81b3o60bobo6bo56bo88b2o23b2o$356bo82bo96bo31b3o86bo23b2o$353b2ob2o101b
2o74bobo117bob2o$354bobo103b2o73bobo118bob2obo9b2o$355bo102b3o75bo119b
o4bo$458b3o198bobo$461bo55b2o$459bobo55bobo$462bo55bo131bo19b2o$459b2o
83bo104bobo17bobo$459b3o2bo78bobo103bobo16b4obo$455b2ob3o2bo28b3o6bo
41bobo103bo2bo15bob6o$454bo2bob2o2b2o26bo4bo3bobo41bo105bobo14b2ob7o$
443bob2o7bo6b3o27bo4b2o3bo151bo14b3o3bobo$439b3ob2obo8b2ob4o29bo6bo19b
o6b2o125b2o$440bo3bobo9bo4b2o29b3obo2bobo15b2o6bobo124bo$441bo3bo11bob
obo3bo30b5o16bobo6bo$459bo6bo34bo10b2o38bo$460b2o3bo46b2o37bobo$551bob
o96bo$552bo96bobo$446b2o203bo$446b2o203bo$651bo2$456b3o61b2o130bo$496b
2o22b2o126b2ob3o$458bo37b4o5bob2o141b3ob2o$456bo37b2ob3o5bo3bobo141bo$
455bo2b3o33b2o3b2o10bo$455b2ob3o33b2obobo9bobo22bo6b2o106bobo$456b3o
40bo5bobo25b2o6bobo96bob3o4bobo$457bo38b3o34bobo6bo95b2obo4bo5bo$465b
2o19bo153b2o4bo2bo2bo$485b2o7bo151bo2bo2bo$464bo3bo15bobob3o2bobo149bo
4bo$469bo13b3o3b2o3bo146bo2bo$462bo7bo13bobob2obobo148b2o$461bo4bo18b
2ob2o58bo$462bobobo4bo14bob5obo36bo15b3o$462bo8bo18b4o37b2o13b3obo109b
o$463bo4b2obo58bobo12bo3bo109bobo$464bob2ob3o72b2o2bo2bo107b2o$465b3ob
2o72b3o2b4o$545bo3bo2bo$545bo6bo$547bo2bo61bo43bobo2b2o$444b3o45bo56b
2ob2o57b3o35b2o5bo2b2o2bo$491b3o55bo14b2o44b2o2bo31bobo2bo7b2o2bo$442b
o5bo45bo69b2o43b2o2b2o29b2o4bo6b2o2bobo$442b7o42b2obo115b2o30b4o4bo$
444bo47b3o3b2o111b5o28b2o3bo$444bo3bo48bo2bo47b2o65b2o30bobo$443bo22b
2o29bo2b2o48bo62bo2bo30b2o$422bo21bo15b2o3bo2bo27bo2b2o47b2o64b2o15b2o
b2o$421b3o21bo4bo9bo2bo2b2o28b4o131b2o10bo$420bobobo20bo4bo9bo2bo108b
2o57b2obobo6bo$419b3ob3o12bo5b2obobo12bo109b2o60bobo12b2o$437bobo3bobo
108bo80b2o10bo2bo$421bob3o13b2o3bo109b2o56b3o32b3o$421b5o9bo3bo106b3o
4bob2o55bobo$421b2o2b2o11bo2b2o97b3o10bobo56bo$423bob2o14bo97bo13b2o
57bo2bo128bo$425b2o9bo2b2o98bo3bo69bobo127bobo$421bobo2bo11bo98b2o3b2o
70b3o$420bobo2bo110bo2bobo2bo71b2o125bo2bo$421bo114bo2bobo2b2o64b3o4b
2o126b2o$538b2ob2o2bo31b2o37b2o10bo117bo$518bo20bo4bo32bobo48bo131b2o$
517b3o22b2ob2o31bo50bo130b2o$436b2o78b3obo20b4o$515bo3bo22b2o85bo$436b
2o76b2o2bo2bo106bo2bo111b2o$513b3o2b4o95bo127bo$437bobo75bo3bo2bo93bob
o10bo2bo111b2o$438bo76bo6bo62b2o29bobo11bobo110b3o15bo$426b2o10bo78bo
2bo64bobo29bo125b2o16b2o5b2o$426b2o91b2ob2o62bo155b3obo14b2o5b2o$519bo
14b2o207bo3bo10b2o$534b2o209bo2bo10bo$583bo161b3o12bo$582b2o41bo120b2o
$518b2o16b2o44bobo39bobo$520bo14b5ob3o80bobo$434b2o82b2o14bo5bo2bo81bo
128b2o2b2o$434b2o99b2ob5o194bo15b3o2bo$536b3o33bo164bo16b2o2bo$571b3o
163bo16b2ob2o$524bo45b2o2bo163b2o16bo4bo$524b2o43b2o2b2o58bo104b3o20b
2o$516b3o4bob2o43b2o60bobo8bobo92b2o20bobo$523bobo10b2o33b5o25b2o29bob
o8b2o$523b2o10b2obo36b2o24bobo29bo10bo$535b2obo34bo2bo25bo$537bo36b2o
12b2o$588b2o147bo$529bo69bo136bobo$527b3o68b2o41bo94bo2bo$522b2o3bo70b
obo39bobo$522b2o3b2o43b3o34b2o29bobo$528bo3bo39bobo34bobo29bo93bo2bo$
529b2obo39bo37bo124b2ob3o$528bo43bo2bo20b2o139b2o2bo$527b2ob3o40bobo
20b2o140bo2bo$528b3obo41b3o161bobo$529bo46b2o$529b3o38b3o4b2o151bo$
530b2o44b2o39b2o112bob2obobo$617bobo105b3o3b4o3bo$564b3o51bo112bo2b2ob
2o$563bo2bo163bo$562bo4bo160b3o$562bo2b3o47bo112b3o$562bo5bo45b2o$563b
7o44bobo$569bo$569bo177bo$541b3o23b2o177bobo$541bobo202b2o$540bo3bo$
540bo3bo$540bo61bo$540bo4b2o55b2o140b4o$540bo6bo53bobo22b3o6bo63bo48bo
$541bo5bo77bo4bo3bobo61bobo29bob2ob2o7bo4bo$541b2o82bo4b2o3bo62bobo28b
6ob2o7b2obo$520bo22bo3bo11bo3bo5b2o54bo6bo65bo2bo27b3o3bo11bo$519b3o
22bobo13b3ob2o2bo2bo54b3obo2bobo63bobo$518b3obo14bo22b2ob2o2b2ob3o57b
5o67bo29b2o$517b2o3b2o6bo2bo3bo29b2ob2o63bo10b2o53b2o29b2o$516b2obo2b
2o6bo3bo2b5o25bob2o75b2o53bo17bobo6bobo2bo$517b2obob2o5bo10bobobo23b2o
148bo9bob2obo$518b3ob2o6bob2o6bo3bo174bo2bo6bobo3bo$520bo4bo15bob2o
176b3o9bo2b2o$496b3o22b4o15bo158bo34bob2o$495bo3bo23bo12b4o158bobo34bo
$494bo4bo8b2o3b3o20b3o16bo2bo141bo$494bo2bobo7b4o26bo19b4o93b2o44bo$
494b2obobo6bo3b2o42bo75b2o22b2o44bo$496b2obo2bo4b2obobo38b2o2b2o2b2o
69b4o5bob2o$498b2o2bo47bobo75b2ob3o5bo3bobo55bo$499b3o13bo35bo3b2o71b
2o3b2o10bo51b2ob3o$512bo2bo38b2o72b2obobo9bobo53b3ob2o$513b3o39b2o2bo
73bo5bobo60bo12bo$630b3o82bo$620bo94bo$619b2o7bo85b3o$618bobob3o2bobo
84b2obo$617b3o3b2o3bo87b2o$618bobob2obobo$619b2ob2o79b2o2bobo7bo$620bo
b5obo74b2o2bo10b2o$624b4o79bo11bo$502b2o92b3o6bo$502b2o91bo4bo3bobo$
595bo4b2o3bo$595bo6bo64b2o$596b3obo2bobo55bo5bobo42bo$600b5o55b2o6bo
42bobo$605bo10b2o42bobo48bobo$616b2o94bo$510b2o$510b2o106bo$617bobo$
617bobo4bo50b2o$618bo5b2o49bobo42bo10bobo$620b3o3bo49bo42bobo9b2o$619b
3o2b2o93bobo10bo$600b2o17bo100bo$600b4o5bob2o7bo30bo$598b2ob3o5bo3bobo
4b2o29bo5b3o$598b2o3b2o10bo4b2o28bobo3b2o2bo$598b2obobo9bobo2bo2bo29bo
3bo5bo21b2o$603bo5bobo5bo4bo28bo3bo21bo5bobo42bo$600b3o13b2ob2ob2o32bo
2b2o15b2o6bo42bobo$615bo5b2o34b2o11b2o4bobo48bobo$619bo50b2o56bo$615bo
$616bo3bo$604b2o14bo$604b2o13bo71b2o$615bo75bobo$615bo76bo$615b2o61b2o
$664bo13b2o$616b2o36b2o9b2o$613bob3o35bob3o8b2o$614bo2bo35bo3bo10bo$
614b3o37b2obo5b5o31b2o$655bo10bo26bo5bobo$692b2o6bo$692bobo$651bo$623b
3o17b3o3b4o$622bo3bo16bobo3b2ob2o$621bo4bo16b3o2bo$620bo3bo23b2o3bo$
620bo2bob3o21b4o$620bo7bo21b3o35bo17bo$622bo3bobo59b2o15b3o$622bo3bob
2o57bobo14b2o2bo$624b3ob2o73b2o2b2o$704b2o$705b5o$709b2o$649bobo55bo2b
o$603bo39b2o6bo56b2o12b2o$602bobo38b2o7bo69b2o$601bo3bo37bo3b3ob2o$
602bobo50bo$603bo16b3o23bobo7bo$623b2o22b2o7b2o48b3o$603b4o12bo3b2o30b
2o49bobo$602bo4bo11bo3b2o30bo50bo$579b3o22bo15bobo83bo2bo20b2o$579bobo
19bo3bo2bo12bo85bobo20b2o$579b3o19bob3obo100b3o$595b2o5b3obo103b2o$
594bo2b2o105b3o4b2o$581b2o11b2ob2o111b2o$579b2ob2o14bo$579b2o2b2o10b2o
101b3o$578b2o3b2o11bo100bo2bo$579b2o2b2o111bo4bo$580bobo113bo2b3o$696b
o5bo32b2o$697b7o31bobo$703bo32bo$596b3o77bo26bo$593b3obo77b3o23b2o$
594b2ob2o75b2o2bo$594b2ob2o74b2o2b2o$596bo77b2o$675b5o63b2o$584b2o93b
2o62bobo$584b2o91bo2bo63bo$678b2o12b2o$692b2o2$742bo$695b2o44b2o$676b
3o15bo46bobo7b2o$592b2o82bobo15b3ob3o50bobo$592b2o82bo17b3o2bo52bo$
676bo2bo18bo$677bobo$678b3o$680b2o$674b3o4b2o$680b2o14b2o61b2o$654bo
40bo63bobo$654bo37b2o2b2o62bo$654bo37b2o$657b2o$657b2o12b2o$652bo3b3o
11b2o18bo67bo37bo$653b3o15bo8b2o3b7o65b2o35bobo$654bo15b3o7b2o3bo4b2o
65bobo7b2o20bo5b2o2b3o$653b2o15b3o13bob2o77bobo17bobo9bo$653b3o16bo17b
o77bo19b2o10bo125bobo141bobo$655bo14bo2bo13bo2bo235bobo4b3obo132bobo4b
3obo$653bo16b3o5b2o7bo2bo234bo5bo4bob2o129bo5bo4bob2o$655bo15bo6b2o7b
3o235bo2bo2bo4b2o131bo2bo2bo4b2o$653b3o32b2o235bo2bo2bo137bo2bo2bo$
688b2o101bo135bo4bo138bo4bo$688b2o85b2o14b2o122b2o16bo2bo122b2o16bo2bo
$586bo6b2o180bobo12bobo25bo96b2o17b2o123b2o17b2o$585bobo3bo3bo180bo39b
obo$584bo3bobo3b2o52bo168b2o$585bobo2bobob2o48b4ob2o7b2o8bobo15b2o$
586bo3bo2b2o48b2ob3ob2o6b2o8bo2bo14b2o$590bo4bo48bob3obo17bo2bo$591bo
2bo10b2o38bo3b4o15bo3bo$593bo11b2o41b2ob3o15bobo235b2o142b2o$649b5o11b
o4bo236b2o142b2o$650bo13bobo248b2o2bobo137b2o2bobo$665bo248bo2b2o2bo6b
obo4bo122bo2b2o2bo6bobo4bo$694b2o218bo2b2o7b2o2b2o2bobo121bo2b2o7b2o2b
2o2bobo$652b2o40b2o106bo111bobo2b2o5bobo2b4obo121bobo2b2o5bobo2b4obo$
631bo19bo2bo148b2o2bo118bobo6bo134bobo6bo$613b2o15bobo19b2o105bo42b2o
2b2o119b3obo139b3obo$600bo12b2o14b2ob2o125b2o45bobo$589b3o7bo2bo26b2o
127bobo171bo8bo134bo8bo$588bobob2o5bo3bo31b2o295b2o7b5o130b2o7b5o$588b
obob2o5bo3bo25b3o2bo297b3o4bobo3bo130b3o4bobo3bo$588bo3bo5b2o3bo29bob
2o294b3o3b3o3b3o129b3o3b3o3b3o$589bobo7bo2bo28bo2bo12b2o37bo246b3o2b2o
137b3o2b2o$590bo43bo12b2o36b3o110b2o139bo143bo$632b2o50b3obo108bobo
140b3o141b3o$579bo7bo55b2o38b2o3b2o109bo141b2o13bobo126b2o13bobo$578b
3o5bobo43bo9bo2bo36b2obo2b2o266bobo4b3obo132bobo4b3obo$577b2ob4o2bo2bo
28b2o10b2ob2o8bobo37b2obob2o113b2o150bo5bo4bob2o129bo5bo4bob2o$578b3o
2bo34bobo12bo10bo39b3ob2o113bobo149bo2bo2bo4b2o131bo2bo2bo4b2o$579bo2b
2o2bo32bo10bo55bo4bo111bo151bo2bo2bo137bo2bo2bo$583b2obobo43bo54b4o51b
2o200bo12bo4bo125bo12bo4bo$587bo84bo6b2o8bo53b2o97b3o97b2ob2o16bo2bo
119b2ob2o16bo2bo$556bo6b2o106bobo3bo3bo45bo14bo99bo99b2ob2o17b2o120b2o
b2o17b2o$555bobo3bo3bo104bo3bobo3b2o45b2o114bo101bo143bo$554bo3bobo3b
2o105bobo2bobob2o44bobo213bo143bo$555bobo2bobob2o60b2o44bo3bo2b2o128b
2o132b2o142b2o$556bo3bo2b2o61bobo47bo4bo128b2o131bo143bo$560bo4bo61bo
49bo2bo128bo$561bo2bo10b2o58b2o17bo24bo160b3o102bo143bo$563bo11b2o58b
2o17bo131b2o52bo107bo143bo$654bo130bobo53bo105b3o141b3o$657b2o128bo
153bobo3bob2o134bobo3bob2o$577b2o78b2o283b2o6b2o6bobo4bo120b2o6b2o6bob
o4bo$576b2o56b2o16bo3b3o283bo8b2o3b2o2b2o2bobo119bo8b2o3b2o2b2o2bobo$
582b2o50bobo16b3o294bo5bobo2b4obo127bo5bobo2b4obo$583b2o50bo18bo17b2o
282bobo6bo134bobo6bo$579b5o59b2o8b2o12b3ob3o270bo12b3obo126bo12b3obo$
570bo7b2obo61b2o8b3o14bo272bo143bo$559b3o7bo2bo7bo74bo11b3o2b2o21bo$
558bobob2o5bo3bo35b3o6bo34bo18b2o21b2o246bo2bo140bo2bo$558bobob2o5bo3b
o36b2o3b2obo36bo38bobo$558bo3bo5b2o3bo4b3o28b2o5bobo23b2o9b3o301b2o
142b2o$559bobo7bo2bo4b2o2bo32b3obo23bobo312b2o142b2o$560bo15bo3b2o35b
2o17b2o5bo29bo$575bo2b3o48b2o4b2o14b2o19bo$574bo2b2o50b2o6bo13b2o19bo$
574bo2bo97b2o$575bo2bo96b2o9b2o$563b2o13bo106b2obo$563b2o11bobo71b2o
32b5o$650bobo$574bo76bo$572bob2o61b2o309bo143bo$571bo2b2o61b2o52bo255b
o143bo$572b2obo43bo3b2o64bobo255bo143bo$572b2ob2o36bob2o3bob2obo63bobo
$573bobo35b2obo3bobo4b2o328b2o$574bo39bobo2b3o2b2o32b2o298b2o4bo$615bo
4b2o36bobo294b2ob4o3bo$488b3o161b2o5bo292b5o4b4o$487bo2bo160b2o302b3o
6bo$486bo4bo111bo49bo302bo$486bo2b3o110bobo5bo344b3o$486bo5bo89b3o23b
2ob2o349bo12b2o$487b7o87bo2bo17b3o2bo3b2o349bo12b2o$493bo86bo4bo22b2ob
2o$493bo86bo2b3o22b4o$491b2o12b2o73bo5bo$505b2o74b7o58b2o$587bo59b2o$
587bo58bo$490bo94b2o396b2o$489bobo111bo379b2o$488b2obo110bobo175bo167b
o$488b2o114bo3b2o170b2o164b2ob2o7bo$489b3o21b2o87bo4bo2bo168bobo167b2o
7bo$490bo22b2o47bo37bo2bo7bo230bo103b3o9bo3bo$491bo2bo65b2ob2o35bobo3b
ob3o230bobo5bo98bo3bo8bobo$488bo6bo66bo42bo2b2o4bo232b2ob2o95bo3bo10bo
$488bo6bo84b2o23bobo5bobo225b3o2bo3b2o96b3obo38b2o$488bo4b3o84bobo23bo
7b2o231b2ob2o98b2o27b2o10b2o$482bo80b2o15bobo29bobo232b4o98bobo30b2o4b
o$481b3o78bo2bo14bobo29bo248b2o87bo28b2ob4o3bo$480b2ob2o53bobo20b2o3bo
12bobo279b2o86b2o25b5o4b4o$479b2obobo52bo2bo20bo4bo13bo367b3o28b3o6bo$
478b3o2b3o52bobo20bo3bo382bob2o28bo$479bo6bo31b2o34b2o6bo2bo374bobo4b
5o27b3o$480b5obo31bobo33bobo6bo367bob3o4bobo43bo$481b4ob2o31bo20bo13b
3o372b2obo4bo5bo13b2o27bo$458b3o25bo52bob2o11bo2bo373b2o4bo2bo2bo12bo
2bo$457bo2bo24bo53bob2o12bo313b2o66bo2bo2bo13b2o$456bo4bo76bo3bo12bo
313b2o65bo4bo$456bo2b3o77b4o311b3o75bo2bo$418b3o35bo5bo76b3o15bo286b4o
4b4ob2o74b2o$418bobo36b7o62b2o26bo289bobob2o4b2o2bo189b3o$418b3o42bo
62bobo25bo2bo287b2o9b3o109bo78bo3bo$434b2o27bo63bo25b3o291bo3bobo98b2o
14bo49bo27bo3b2o$433bo2b2o23b2o12b2o76b3o396b2o14bo32b3o8bo5bo28bo$
420b2o11b2ob2o37b2o76bo2bo392bo15bob3obo28bo3bo6bo7bo28b4o$418b2ob2o
14bo116bobo278bo114bo14bob5o29b2o9b4o2b2o30bob2o$418b2o2b2o10b2o88b2o
28b3o278bo5b3o104bobo18bobo31b2ob2o9b3o30bo2bo$417b2o3b2o11bo7b2o15bo
17bo45bobo307bobo3b2o2bo29b2o70bob3o15b2o37b2o11bobo30b2o12b2o$418b2o
2b2o19b2o14bobo15bo2bobo41bo9b2o299bo3bo5bo28bobo71b2o16b2o51bo7b2o36b
2o$419bobo36b2obo14bo2b5o50bobo6b2o290bo3bo35bo57bo4bobo26bo51bo7b2o$
458b2o17bobo3bo51bo7b2o295bo2b2o87bobo2b2o2b2o2b2o20b2o$459b3o16bo362b
2o89bob4o2bobo4bo20bo3b2o76bo$460bo351bo120bo6bobo25bo81bo$435b3o23bo
2bo346bobo5bo117bob3o24bob2o79bobo$432b3obo21bo6bo351b2ob2o133b2o10bo
60b2o20bo$433b2ob2o10bo9bo6bo345b3o2bo3b2o60b2o74b2o4bo62bo2b2o18b2o
21b2o$433b2ob2o9bobo8bo4b3o13bo62b2o273b2ob2o60bobo70b2ob4o3bo60b2o3bo
3b2o13b3o20b2o$435bo11bo2b2o26bo63bobo6b2o264b4o62bo68b5o4b4o61b2obobo
3b2o$446b3o2bo23b3obo63bo7b2o278b2o43b3o61b2o13b3o6bo59b3o2b2o17bo4b2o
$423b2o14b4o6b3o23b2o354b2o43bo63b2o14bo66b3o22bo5bo$423b2o14b2ob3o
432bo77b3o49b2o13b2o24bo5bo$412bo14b3o7bo2bo2b2o517bo44b2o9b2o2b2o29bo
$411bobo13bo4bo4b3o3bo25b3ob2o65b2o292bo127bo79bo$410bo3bo16bobo2bo2bo
2bo20b2o3b4o68bobo291b3o53b2o120b2o4b2o2bo18b3o$411bobo13bo2bo5bobo24b
2o3bo5bo65bo288bo3bo3b2o51bobo117b2obo6b3o17b2o2bo$412bo19b2o3b2o33bob
o353bo5bo3bo52bo103bo12bo5bo24b2o2b2o$428bo2bo38b2obo355bo8bo109b2o44b
3o11bob4o26b2o$412b4o13b3o40b3o359bob2o110b2o43bo14bo3b2o27b5o$411bo4b
o52b2o2bo350b3o8bo28b3o127b2ob2o11b2o33b2o$413bo56bo2bo340b4o4b4ob2o
44bo121b3ob2o42bo2bo$410bo3bo2bo55bo340bobob2o4b2o2bo37b2o5b3o121b4o
43b2o$410bob3obo53bo2bo341b2o9b3o6b2o29b4o4bo23b2o$411b3obo55b2o85b2o
257bo3bobo10bo2bo28b2ob3ob2o23bobo87bo$558bobo273bo2bo33bobo25bo43b3o
25b3o8bo5bo$559bo274bobo48b2o5b3o48bo26bo3bo6bo7bo$831b4o50b2o5bo51bo
26b2o9b4o2b2o52b3o$831bo2b2o57bo79b2ob2o9b3o52bobo$403b3o426b3o140b2o
11bobo51bo$412bo143b2o261b2o12bo155bo52bo2bo$405b2o5b3o8b2o131bobo260b
2o85b2o81bo53bobo$405b4o4bo9b2o131bo273bobo73bobo133b2o2bo$405b2ob3ob
2o418bo74bo136bobo$410bobo416bo63b2o145bo2b2o2bo$828b2o45b2o16b2o38b3o
105bo2bo2bo$828bo3bo45bo56bo61b2o46bobo$829b3o36bo4b2o4b2o53bo59b2o2bo
$868bo3b2o6bo118bo29bo$431b2o109b2o324bo2b3o2b2o2bo33b2o77bo4bo30b4o5b
2ob2o3bo6b2o$431b2o108bobo332b2obo34bobo76bo35bo3bo5bob2o2b2o6b2o$543b
o371bo82bo41b2ob2o2bo$858bo118b2o16bo35b3o10bobo$858bo118b2o19bo46b2o$
414b2o444bo5bo$417bo441bo6bobo127b3o$412b2o4b2o419bo18bo3bo2bo$411b2o
6bo417b2ob2o17bo2bobob2o83bo109b2o$410b3o2b2o2bo417b2ob2o22bob2o82b2o
109b2o$403b3o9b2obo418b2o111bobo102b2o$391b2ob2o8b2o433b2obo142b2o68b
2o$391b2o8b2ob2o434bo2bo57b3o81b2o67bo2bo$391b2obobo5b2o436bo2bo59bo
119bo27bo2bob2o$316b3o75bobo444b2o59bo120bo26bo2bo$315bo2bo76b2o626bo
27bobo$314bo4bo190b2o347bo64bo101b2o$314bo2b3o189bobo346b2o63b3o84bo
15b2o$314bo5bo60bo129bo345bobo3bob2obo54bo2bo82b3o9bo3b3o$315b7o59bo
437bo37bob2obo2bo3bo53b3o82b3obo9b3o$321bo59bo20b2o412b4o38b4o4bo56b3o
14b2o5b2o58bo3bo11bo$321bo60b2o17bo2bo453bo3b5o3bo51bob2obo12b2o5bobo
56b2o2bo2bo8b2o$319b2o12b2o47b3o17b2o432bo27b4ob2o52bo2b3o18bo57b3o2b
4o8b3o$333b2o47b2o451bobo20bo6b4o54b4ob2o77bo3bo2bo9bo$819bobo16bo28b
3o54bob3o78bo6bo7bo$820bo15b2o29b2o57b3o10bo69bo2bo11bo$318bo473b2o2bo
21b2o16bo90b2o10bo71b2ob2o6b3o$317bobo475bobo20bo2bo12b2o104bo70bo$
316b2obo61bo15b2o122b2o271bo16bo5b2ob2o10bo105bobo7b2o$316b2o62bobo14b
2o15bo107b2o287bo111b2o16bo6b2o76bo$317b3o21b2o37bo2bo29bo107bo274b2o
13bo20bo3bo14b2o70b2obo99bo$318bo22b2o50b2o18b3o417bo16bo72b4o12bobo
42b3o23b2o14bo$319bo2bo69bo2bo82b2o18b2o297b2o12b2o112bo14b2o42bo27bo$
316bo6bo55bo2bo10bobo81bobo17bobo296bo13bo2bo37bobo131bo24b2o16bo$316b
o6bo55b2ob3o9bo84bo19bo294b2ob2o11bobo39b3o83bo88bobo$316bo4b3o57b2o2b
o411b2o10b2o42b2o83bo89bo$310bo71bo2bo409bo13bo125b3o$309b3o70bobo427b
2o120bo2bo78bo$308b2ob2o499b2o120bo2bo78b2o$307b2obobo499b2o102b3o15bo
18b2o53b3o4bob2o108b2o3b4o$306b3o2b3o495b2obo103bobo17b2o15bobo59bobo
104b3obo2bo6bo$307bo6bo495b3o102bo3bo8b3o23bo60b2o109bo2bo2b5o$308b5ob
o496bo103bo3bo5b5o9b3o184bo2bo$309b4ob2o599bo11b3o11bo186bo$286b3o25bo
70b2o528bo4b2o5bo12bo184bobo17b2o$285bo2bo24bo71b2o528bo6bo113bo89bo
18b2o$284bo4bo509b2o93bo21bo5bo113bobo$284bo2b3o509b2o92b3o20b2o43b2o
51b2o20b2o$246b3o35bo5bo155b2o445bo2bo21bo3bo38bobo50b2o$246bobo36b7o
62b2o89bobo445b3o23bobo40bo$246b3o42bo62bobo90bo445b3o14b2o$262b2o27bo
63bo536bob2obo12b2o4b2o$261bo2b2o23b2o12b2o88b2o498bo2b3o16bo237b2o$
248b2o11b2ob2o37b2o88b2o498b4ob2o14bo2bo224bobo8b2o$246b2ob2o14bo541b
2o85bob3o14bo2bobo222bo3bo$246b2o2b2o10b2o88b2o453b2o87b3o10bo4bobo52b
2o51b2o107b3o7bo4bo$245b2o3b2o11bo7b2o15bo17bo45bobo29bo512b2o10bo4b2o
53bobo50b2o102b2o3b4o6bo4bo$246b2o2b2o19b2o14bobo15bo2bobo41bo9b2o20bo
525bo52b2o5bo154b2o3bo4bo6bo3bo$247bobo36b2obo14bo2b5o50bobo18bobo522b
obo51b2o70bo95b2ob2o7bo2bo$286b2o17bobo3bo51bo20b2o2bo504b2o16bo52bo
68bobo94b4o$287b3o16bo76bo5bo503b2obo136bobo95bo$288bo94bo5bo8bo494b4o
12bobo122bo91b2o$263b3o23bo2bo90bo4bo8bo497bo14b2o204bo3b2o4b3o$260b3o
bo21bo6bo93bo9b3o629b2o85bob2o2bo6bo$261b2ob2o10bo9bo6bo90b3o27b2o493b
o37b3o78bo2bo84bo2b5o2b4o$261b2ob2o9bobo8bo4b3o13bo62b2o41bobo492bo38b
obo79b2o89b3o3b3o$263bo11bo2b2o26bo63bobo42bo491b3obo35bobo14b2o153b3o
$274b3o2bo23b3obo63bo10b2ob2o520b2o2b2o34bo4b2o9bo2bo152b2o$251b2o14b
4o6b3o23b2o82bo519b2o2b2o33b3o3b2o10b3o152bo$251b2o14b2ob3o109b2o568bo
12b2o$240bo14b3o7bo2bo2b2o111b3o511b2o7b2o39b4o13bo$239bobo13bo4bo4b3o
3bo25b3ob2o65b2o528b2o7bo4bo36b2o12bob2o18b2o$238bo3bo16bobo2bo2bo2bo
20b2o3b4o68bobo536bo4bo36bo13b4o18bobo$239bobo13bo2bo5bobo24b2o3bo5bo
65bo9b2o528bobo52bobobo11b2o5bo$240bo19b2o3b2o33bobo75bobo569bo13b2ob
2o3b2o4b2o$256bo2bo38b2obo77bo568bobo12bo3bo4b2o6bo$240b4o13b3o40b3o
189bo454b4o13b3o$239bo4bo52b2o2bo190b2o453b3o15bo158b3o$241bo56bo2bo
189bobo412b2o41bo160bo$238bo3bo2bo55bo604b2o85b2o114b3o$238bob3obo53bo
2bo661b2o28bobo112bobobo11b3o$239b3obo55b2o85b2o574bo2bo28bo112b3ob3o
9bo$386bobo572bo163bo$387bo572bo2bo145bob3o11bo$960bo23bo124b5o19b2o$
960b3o21bo124b2o2b2o18b2o$231b3o707bo10bobo156bob2o$240bo143b2o554bobo
8bo2bo158b2o$233b2o5b3o8b2o131bobo552b2ob2o7bo2b4o151bobo2bo$233b4o4bo
9b2o131bo554b2o10bob5o4b3o30b2o111bobo2bo$233b2ob3ob2o703b2o5b3obo7bo
29b2o106b3o4bo$238bobo698b3o2bo18bo32bo9bo94bo$943bob2o58b2o94bo3bo$
917b3o21bo2bo59bob2o91b2o3b2o29b2o$917bobo24bo59bo2b2o89bo2bobo2bo26bo
4bo$917b3o22b2o58b4ob3o88bo2bobo2b2o25bo4bo$259b2o109b2o561b2o66bo2bob
o2b2o89b2ob2o2bo25bo4bo$259b2o108bobo560bo2b2o5bo59bobobob3o90bo4bo28b
2o$371bo547b2o11b2ob2o3b2ob2o28b2o28b2ob3obo93b2ob2o$917b2ob2o14bo6bo
30b2o27b4o2bobo91b4o$899bobo15b2o2b2o10b2o5bo32bo32bo3bo93b2o$242b2o
655bobobo7bo4b2o3b2o11bo7bo63bo3bo$245bo652bo2b2obo4b3o5b2o2b2o83bo2bo
12b2o$240b2o4b2o651b2o3bobob2obo6bobo101b2o$239b2o6bo651b2o3b2ob5o213b
o$238b3o2b2o2bo655bob2o3b2o172bobo38bobo$231b3o9b2obo655bobo179bobobo
7bo28b2o$219b2ob2o8b2o643b2obo53b3o70b2o74bo2b2obo4b3o$219b2o8b2ob2o
642b3obo6bobo41b3obo148b2o3bobob2obo$219b2obobo5b2o643bo4bobo4bo44b2ob
2o147b2o3b2ob5o$222bobo651b2o6bobo3bo41b2ob2o93b2o56bob2o3b2o$223b2o
652bo3bo2bo2b2o11bo26b2o5bo95b2o55bobo12b2o$141b3o6bo187b2o540bob2o3bo
11b3o24bobo83b2o88b2o$142b2o3b2obo186bobo539bobo17bo2bo24bo83bo2bo$
141b2o5bobo58bo129bo539bobo16bo4bo94b2o4b3o4bo2b2o$146b3obo58bo689bo
110bo2b2o$149b2o58bo20b2o765bo3bo8b4o$161b2o47b2o17bo2bo666bo2bo99bo
105bo$161b2o47b3o17b2o668bobo92bo7bo103bobo$210b2o782bo4bo109bo89bo$
896bo98bobobo4bo99b2o3bo88bobo$895b3o78bo18bo8bo30b2o54b2obo6b2obo93bo
bo$894b2ob2o76b2o19bo4b2obo30bobo49bo3b6o4b2obo93bo2bo$884bo8b2obo5bo
71bob2o19bob2ob3o31bo49bo5bo4bo3b2o96bobo$209bo15b2o652bo3b5o4b2o6b2o
72bo2b2o19b3ob2o82bo11bo4bo4b2o92bo$169b2o37bobo14b2o15bo635bobo7b2o2b
2o7b2o69b4ob3o107bo9bo5b2ob2o93b2o$169b2o37bo2bo29bo636bo7bob2o81bo2bo
bo2b2o111bo108bo13b2o$151bo3b2o64b2o18b3o635bo8b2o82bobobob3o111bo2bo
119b2o$145bob2o3bob2obo62bo2bo82b2o572bo3b4o85b2ob3obo113bo$143b2obo3b
obo4b2o48bo2bo10bobo81bobo577b3o85b4o2bobo61b2o$146bobo2b3o2b2o49b2ob
3o9bo84bo668bo3bo62bobo153bo$147bo4b2o55b2o2bo762bo3bo63bo49b2o102bobo
$210bo2bo762bo2bo12b2o100b2o104bo$210bobo673b2o104b2o206bo$135bo750b2o
152b2o158bo22b2o$134bobo5bo896b2o182b2o$140b2ob2o29b2o821b2ob2o39bo67b
o91bo$134b3o2bo3b2o29bobo800b2o13b2o3b3obo49b2o56bobo85b2ob3o$140b2ob
2o30bo816bob3o4bo49bobo55b2o88b3ob2o$140b4o848bobo3bobo29bo21bo49b2o
98bo$213b2o778bo2bobobo28b3o70b2o$213b2o779b2o32b2ob2o$111b3o6bo861b2o
43b2obobo81bo77bo19b2o$112b2o3b2obo860bo2bo41b3o2b3o79bobo75bobo16bo$
111b2o5bobo61b2o90b2o698b3o4bo2b2o8bo32bo6bo78bobo74b2ob2o15bo4bo$116b
3obo61bobo88bobo704bo2b2o9b2o32b5obo24b2o53bo76bo2bo23bo$119b2o62bo91b
o704b4o9bo2bo32b4ob2o23bobo131b3o13bo8bo$131b2o44b2o815bobo37bo25bo48b
2o82bobo13b2obobobobo$131b2o43b2o43b2o771b2o37bo12b2o60bo2bo82b2o15bo$
178bo42b2o823b2o61b2o83b2o$986bo69b2o$987b2o66b2o$130b2ob3o54b2o20bo
767b2o2bo2bo43bo25bo37bo$128bo7b2o52bobo19bo767b2o2bo2bo41b2obo34b2o
25b2o96bo$128bo5b2ob2o52bo19bobo774bo78bobo24bobo96bo$129b2o4b3o74b2o
2bo770b4o41bo35bo124b2o$134bobo28bo45bo5bo767bo2bobo38bo2bo21b2o136b3o
$121bo3b2o7bo30bo45bo5bo8bo757b2o4b2o38bo23b2o$115bob2o3bob2obo37bo8bo
36bo4bo8bo763bo$113b2obo3bobo4b2o43bobo40bo9b3o807b2o156b3o$116bobo2b
3o2b2o7b2o29b3o2bo3bo22b2o12b3o27b2o784b3o5b2o153bo4bo$117bo4b2o10bo2b
o29bob5o24bobo40bobo791b2o154b2o3b2o$135b2o36bo25bo43bo778b3o10bo156bo
3b2o$135b2o31b2o15b2o6b2o15b2ob2o806bo3bo$131b2obo50b2o5b2o21bo804bo4b
o65b2o102bo$131bo2bo59bo15b2o807bo3bo67bobo85b2o7b2o$132b3o77b3o804bo
2bob3o45b2o17bo87b3o6b4o3bo7b2o$119b2o898bo7bo43b2o106b2obobo7bo10b2o$
119b2o85b2o813bo3bobo45bo108b2o10bob2o$130b2o74bobo812bo3bob2o165bobo$
130b3o74bo792bo22b3ob2o166bo$131bo61b2o803b2ob2o$128b2ob2o43bo16b2o38b
2o$128b2ob2o42b4o55b2o765b2o$130bo42b5obo53bo768bo208b2o$167b3o2bo6b2o
815bo3bo59b2o149b2o$171bo3bob3o34b2o784bo3bo56b2o$172bobo2b2o35bobo
843bo143b2o$215bo986b3ob2o$978bo19bo20b3o59bo120bobob2o$157b3o817b2o
20b3o16b5o3b2o52bobo89b3o25b2obo$166bo809b5o36bo7b3obo49bo3bo13b3o$
159b2o5b3o806bo46bo6b3o47bo3bo8bo77bo5bo22bo$139bo19b4o4bo806b2o5bo12b
2o3bo22bob2o3b2o48bobob3o4b2ob3o74b7o$138bobo18b2ob3ob2o805b3ob2o8bobo
4bo4bo25b5o50b2obo2bo5bob2o76bo11bo$54bo82b2ob2o22bobo807bobob2o2b2o3b
obo5b2o3b3o23b3o55bobo8bo63b3o10bo3bo6bo7b2o$53b3o82bo2bo833bo2bo2b2o
5bo8b2obo2bo23bo56b2o11bo2bo5b2o50bo2bo9bo10b3o$52b3obo83b3o811b3o20b
2o17bo3b4o93b3o6b2o49bo4bo9bo9b3o$51bo3bo84bobo58b2o750bo25b2obo12b2o
2bo157bo2b3o10bo4bo4bob2o$50b2o2bo2bo83b2o59b2o748bo4b2o23bo12bo161bo
5bo9bo4bo5b2o$49b3o2b4o83b2o58bo749bo3bo15b3o20bo2bo17bobo140b7o7b2obo
bo7bo$51bo3bo2bo892bo2bo4bo4b2o29b2o20bo89bo56bo6bobo$51bo6bo892bo3bo
3bo4b3obo26bo14bob2obo90b2o56bo7bo$53bo2bo101b3o791b2obob3o49b5o92bobo
b2o50b2o$55b2ob2o97bo7bobo787bo52bo5bo92b3ob2ob2o$55bo14b2o43b2o2bo37b
o4b4o2b2o786b4o49bob3o92bo3b2o2b2o$70b2o46bobo37b5obo2b2o789b2o11bob2o
36bo94bo3bo64b3o$117bo45b2o2b3o801bo2bo37b2o92bo2bo51bo$135b2o21bobo5b
o2b2o800b3o39bo72b2o13b2o4bo52bobo$54b2o63b2o12bo3bo27bo920b2o13b2o56b
2obo15bo$56bo79b2o20b2o6bob3o920b2o66b2o16bobo$54b2o37bo26b2o14b2o25bo
4bo921bob2o66b3o15bo$93bo25bo954bo15bo8b3o59bo$78b2o13bob3o19b2ob2o13b
o937b3o15bo2bo5b2o60bo2bo$78b2o15b3o22b2o11b2obo935b2ob2o17bo64bo6bo$
60bo35bo13b3o5bo13b7o932b2o3bo15b2o25b2o38bo6bo$60b2o34b2o34b3obo14bo
920bobobobo12bo27bobo37bo4b3o$52b3o4bob2o34bo53b2o807b2o111b2obo2bo40b
o$46b3o10bobo35b2o13bo38b2o807b2o114b2obo33b3o149bobo$45bo13b2o50b2o
39b2o897bo25b2o34bo150bo$45bo3bo44b2ob2o11b3o40bo896bobo61bo73bo76bo2b
o$43b2o3b2o45b3o12bo43bo894bo3bo13b3o116b2o79bobo$42bo2bobo2bo44bo12bo
44bo895bo3bo8bo124b2o81bo11b3o$42bo2bobo2b2o56bo3b2o935bobob3o4b2ob3o
61b2o35b2o103b3o$44b2ob2o2bo31b2o27b2o936b2obo2bo5bob2o61bobo34b2o103b
o$24bo20bo4bo32bobo23bo858b2o84bobo8bo62bo138b2o$23b3o22b2ob2o31bo25bo
2bo854b2o84b2o11bo2bo198bo13b3o$22b3obo20b4o59b3o954b3o197bo2bo12b3o5b
2o$21bo3bo22b2o1217bobo13b2o6b2o$20b2o2bo2bo1239bo14bo$19b3o2b4o176bo
1075b2o2bo$21bo3bo2bo175b2o966b2o107bo3bo9bo$21bo6bo62b2o6b2o102bobo
966b2o107bo2bo10bo$23bo2bo64bobo5b2o1181b3o7bo$25b2ob2o62bo1036b3o52bo
103b2o6bo$25bo14b2o1087bo53bobo103b4o$40b2o1078bo9bo52bobo107bo3bo$
1104b2ob2o6bob2o2b2o61bo92bo16bo$1056b2o46b2o8bob5o155bobo16bobo$24b2o
16b2o1012b2o46b2obobo5bo4b2o21b2o34b2o90b2o2b2ob2o4b3o9bo$26bo14b5ob3o
49b2o6b2o998bobo11bobo19bobo32bo2bo89b2o2b5o4b4o$24b2o14bo5bo2bo49bobo
5b2o999b2o34bo34b2o98bo3b2o2b2o$41b2ob5o51bo1020b3o6b2o125b3o17bo6b2ob
o$42b3o33bo1051b2o129bo15b3o4b3o$77b3o1181b2o14b3o5bo$30bo45b2o2bo
1180bo2bo$30b2o43b2o2b2o983b2o196bobo$22b3o4bob2o43b2o986b2o85b2o109bo
$29bobo10b2o33b5o25b2o1022b2o18bobo107b2o11b2obo$29b2o10b2obo36b2o24bo
bo1020bo2bo18bo107bobo12b2o$41b2obo34bo2bo25bo1021bo2b2o3b2o5b3o114b2o
$43bo36b2o12b2o1034bob2o4b2o5bo113b2o$94b2o1031bo2bobo13bo114bo$35bo
69bo1021b2o$33b3o68b2o1004b2o14bo128b3o$28b2o3bo70bobo1003b2o9b2o2b2o
32b2o93bo3bo$28b2o3b2o43b3o34b2o1004b2o2bo33bobo91bo4bo$34bo3bo39bobo
34bobo997bo6bob2o34bo91bo3bo$35b2obo39bo37bo996b4o6b2o127bo2bob3o$34bo
43bo2bo20b2o1008bo3bo37b3o95bo7bo10b2o$33b2ob3o40bobo20b2o993b3o11b3ob
2o39bo97bo3bobo10b2o$34b3obo41b3o1013bo3bo11bo2bo39bo98bo3bob2o$35bo
46b2o1013b2o14b2o141b3ob2o$35b3o38b3o4b2o997bo16b2ob2o$36b2o44b2o39b2o
953b5o7b2o9b2o$123bobo952bo3bobo4b3o$70b3o51bo953b3o3b3o3b3o$69bo2bo
990bo20b2o2b3o165b2o21b2o$68bo4bo988bobo19bo171b2o21b2o$68bo2b3o47bo
939b2ob2o15b3o81bo91bo$68bo5bo45b2o940bo2bo15b2o80b2ob2o$69b7o44bobo
941b3o99b2o89bo$75bo988bobo96b3o15b2o$75bo989b2o98bo3bo10bo2bo$47b3o
23b2o965bo24b2o97bo3bo92b3o$47bobo989bobo80bob3o38b3obo93bo$46bo3bo
988bobo76bob2ob4o40b2o84b2o6bobo$46bo3bo988bo2bo72b2o5b5o39bobo10b2o
62b5o5b2o6b2o$46bo61bo931bobo84bo39bo11b3o2b2o55b2o5b2o$46bo4b2o55b2o
933bo41b2o31bo7bo39b2o12bo60bo7bo$46bo6bo53bobo932b2o40bobo29b2ob4o3bo
38b3o11b2o5bo2b2o50b2o7bo$47bo5bo988bo13b2o27bo29b6o2b2o40bob2o11bo4bo
3b2o52b2o6bo$47b2o1007b2o3b3o52b2obo44b5o11bo65bo$26bo22bo3bo11bo3bo5b
2o1041bo62bobo62bo4bo$25b3o22bobo13b3ob2o2bo2bo982bobobo117bo64b2obo$
24b3obo14bo22b2ob2o2b2ob3o961bo19bobobo$23b2o3b2o6bo2bo3bo29b2ob2o961b
obo17bo2b2o115bobo45bobo$22b2obo2b2o6bo3bo2b5o25bob2o964bo17b2ob2o114b
o2bo45b3o$23b2obob2o5bo10bobobo23b2o965bo19bo115bo49b2o15bo$24b3ob2o6b
ob2o6bo3bo990bo134bo67bo$26bo4bo15bob2o1125bo2bo64bo$2b3o22b4o15bo995b
o133bo2bo14b2o34bo$bo3bo23bo12b4o992b2ob3o13bobo97b3o9b2o6b2o15bobo31b
obo15bo$o4bo8b2o3b3o20b3o16bo2bo975b3ob2o11bobo97bo2bo6b4o24bo32b3o14b
obo$o2bobo7b4o26bo19b4o976bo16bo99bo6bo12b2o49bo14bo17bo$2obobo6bo3b2o
42bo999bo96b2o8b3o3b2o4bobo45b5o31bo$2b2obo2bo4b2obobo38b2o2b2o2b2o
989b2ob2o95bobo10bo11bo81b3o$4b2o2bo47bobo996b3o99bo2b3o$5b3o13bo35bo
3b2o991b2o102b2o2bo$18bo2bo38b2o992b2o79bo22bo3bo39b2o$19b3o39b2o2bo
986b3o78b2ob2o21bobo40bobo$1044b2o5b3o82b2o23bo41bo$1044b2o4bo82b3o15b
2o5bo2bo$1050bo2b2o80bo3bo10bo2bo3bo$1051bo2bo79bo3bo18bo$1051b3o81b3o
bo15b2o2bobo$1137b2o17b2o2bo71b2o$1136bobo10b2o59b2o20b2o$1137bo11b3o
2b2o54bobo$1052b2o82b2o12bo54bo5bo$8b2o1042b2o81b3o11b2o5bo47b2o$8b2o
1125bob2o11bo4bo48bobo$1134b5o11bo$1151bobo$1152bo87b2o$1218b2o20b2o$
1188b3o27bobo$1149b3o67bo$16b2o1131b3o37bo15b2o28b2o14b3o$16b2o1134b2o
35b2ob3o10b2o28bobo12bo3bo$1148b3o2bo34bob4o11b2o28bo14bo3bo$1188bob3o
55b2o5b2o$1139b2o12bo35b3o15bo39bo4bo4bo$1139b2o7b2o3bo36bo14b2o2bo16b
2o19bo3bobo3bo$1149bo2bo51bo4bo16bobo18bo4bo4bo$1150bobo50bo23bo20b2o
5b2o3bo$1187b2ob2o15b2o4b2o35bo3bo4bobo$1187b2ob2o12b2ob2o4b2o35bo3bo
4bobo$1188bob2o14bo44b3o6bo$1189b2o$1147b2o106b2o$1147b2o85b2o18bo2bo$
1234bobo18b2o$1204b3o28bo$1203bo$1202bo3bo$1202bo2bo19bo$1202b2o5bo13b
obo$1182bo11bo4bo10bo8b2o2bobo$1182bo10b2o5bo8b3o$1181bobo8bo3b2o3bo7b
3o$1182b2o2bo6b5o5b2o4b2o26bo$1181bo5bo6bo4bo4bo31b2o$1181bo5bo12bobob
o31bobo$1181bo4bo$1158bobo24bo$1157bo2bo21b3o$1158bobo$1174b2o$1174bob
o3b2ob2o$1160bo13b3o8bo28bo$1159bob2o11bo2bo2b2o32b2o$1144bo14bob2o12b
o6b3o28bobo$1140b5o7b2o4bo3bo12bo$1140bo3bobo4b3o5b4o$1140b3o3b3o3b3o
4b3o15bo$1146b2o2b3o21bo$1146bo27bo2bo$1143b3o27b3o$1127bobo13b2o28b3o
$1118bob3o4bobo43bo2bo$1116b2obo4bo5bo43bobo$1118b2o4bo2bo2bo43b3o$
1124bo2bo2bo37b2o$1123bo4bo12bo25bobo$1119bo2bo16b2ob2o24bo$1120b2o17b
2ob2o$1140bo$1143bo$1141b2o$1142bo2$1140bo$1137bo$1136b3o$1135b2obo3bo
bo$1120bo4bobo6b2o6b2o$1119bobo2b2o2b2o3b2o8bo$1119bob4o2bobo5bo$1120b
o6bobo$1124bob3o12bo$1142bo2$1139bo2bo2$1127b2o$1127b2o10$1137bo$1138b
o$1138bo!
I Like My Heisenburps! (and others)
Re: Cordership Rake?
That was exactly what I was looking for! Thank you.
Re: Cordership Rake?
Sure... well, fairly simple -- but definitely time-consuming! It would be a very interesting project, but I think the final slow salvo would have to contain thousands of gliders, or at least many hundreds.theDragn wrote:Also, theoretically, any object that can be made from glider synthesis can be made from slow salvo glider synthesis or P1 slow salvo glider synthesis. Is there any simple way to find one of these for a cordership?
Here's a possible way to get started: Golly's Patterns/Life/Syntheses/blockish-and-blockic-seeds.rle has a fair variety of one-time glider turners and splitters with different timings. It also shows some examples of how a single glider can hit a constellation of blocks and produce a precisely synchronized set of gliders.
So in this case the first goal could be to make a block constellation that produces this recipe:
Code: Select all
#C 15 gliders -> Cordership
x = 161, y = 169, rule = B3/S23
101bobo10bo$101boo9boo$12bo89bo10boo$13boo$12boo33$27bo$25bobo$26boo$
101bobo$101boo$102bo$$bbobo$3boo$3bo53$110boo$110bobo$110bo$23b3o$25bo
$24bo5$oo$boo$o25b3o$28bo$27bo5$75b3o$75bo$bo74bo$boo$obo$$113b3o$113b
o$114bo3$158b3o$158bo$159bo35$105boo$105bobo$105bo!As long as they're spaced a few cells apart from each other, any field of blocks can be cobbled together using recipes from Paul Chapman's block-move table, plus a few good block splitters -- i.e., slow-salvo recipes that turn one block into two or more. Below is the simplest block splitter, which may not be the best for all purposes -- it has good sideways reach, but you'd end up having to build the block field from one side, and any time one block is right in front of another one, you'd have to construct the frontmost block first.
Code: Select all
#C two slow-salvo gliders split a block into two blocks
x = 18, y = 11, rule = B3/S23
b2o$b2o2$bo$2o$obo3$16b2o$15b2o$17bo!Of course, block constellations aren't really the most efficient way to build seeds for synchronized gliders -- there are much quicker-to-construct one-time turners made of constellations of beehives, boats, blinkers and so on, as well as blocks.
But any given one-time turner can generally only be slow-salvo-constructed cheaply from one particular direction. It quickly becomes very complicated to string together a series of these with a workable combination of timings, while still making sure that the various slow-salvo constructions don't get in each other's way anywhere. Every time a glider turns 90 degrees, you have to use a whole new set of turners for the next reflection... Eventually this problem might be a good target for a new search engine. Meanwhile, blocks are wonderfully common and wonderfully symmetrical. They can be easily constructed from any direction, so Blockic-constellation constructions are a good way to simplify the search problem.
Once I'm done with the Hersrch update I'm working on now, I'm planning to cobble together some Python scripts to help out with slow-salvo constructions (unless someone else does it first, of course). One script will accept a slow-salvo recipe in the form of a list of glider lanes, and show the result of the construction. Another will encode an input slow salvo (again, a list of glider lanes) as a data stream for a one-arm Geminoid replicator unit. The output will be a salvo of gliders on a single lane, which will move a Geminoid construction elbow as necessary to output the target slow salvo. And a third script will take a block constellation as input and automatically "compile" it into a slow-salvo recipe and/or a Geminoid construction recipe.
-------------------------------------
A really surprising result from the last few years is that if you start with a couple of blocks and send gliders at one of them _on a single lane_, synchronized in pairs, that's enough to incrementally construct anything that's glider-constructible. Might even be able to start with just one block, not two... but a good bit of development work will have to be done to make that into a practical construction method.